Finding the Third Proportional to 102,036 and 216,422

Step by Step Solution

1. Step 1: Write the proportion equation
   102,036 : 216,422 = 216,422 : x
2. Step 2: Convert to fraction form
   102,036/216,422 = 216,422/x
3. Step 3: Cross multiply
   102,036x = 216,422 × 216,422
4. Step 4: Simplify right side
   102,036x = 46,838,482,084
5. Step 5: Solve for x
   x = 46,838,482,084/102,036
6. Step 6: Final answer
   x = 459,038.79